全國中小學科展

2022年

Solving Mathematical and Chemical Equations using Python

Max Gold's project, titled “Solving Mathematical and Chemical Equations using Python”, is a website comprising of 4 main programmes: one to find the smallest possible combination of two chemical compounds or elements; a self-made parsing function to convert a chemical equation into a matrix, then using Gaussian-Jordan elimination to find coefficients for an equation; a programme to parse a mathematical expression and use that parsed expression in algebraic division of an algebraic dividend of nth degree polynomial by a divisor of 1st degree polynomial; finally, a programme to solve binomial equations for the power s∈Q. This website was originally made so that Max Gold could improve his programming skills for GCSE computer science but expanded to incorporate his passion for chemistry and maths and thus allow others to use these programmes to help them with their problems as well. A problem with many conventional calculator websites is their lack of specificity – they tend to be able to compute some functions but not all. These programmes are tailored to GCSE and A level maths and chemistry, meaning this website provides an outlet to compute specific topics of problems.

Locus of the Points on Circumference of the n-th Circle that Formed by Moving the Center of any Radius Circles on the Outermost Circumference of Preceding set of Circles

This project aimed to study the motion which occurred from the end point on the circumference of the outermost circle by moving the center on the circumference of a preceding circle and the center of an innermost circle at origin. According to the study, when angular velocity was changed, it caused the different of loci. Based on the above information, finding the locus of the point on circumference of n-th circle that formed by moving the center of any radius circles on circumference of preceding set of circles was studied to get general equation. A set of circle and locus were created with GSP program. First, set the same radius circles on the X-axis with the first circle at origin, then found the relationship that occurred from the characteristics of locus. The result showed that if the ratios of angular velocity are 1:1:1, 2:2:2, 3:3:3, ..., …, n:n:n or 1:2:3, 2:4:6, 3:6:9, …,nw1:nw2:nw3, the characteristics of locus will be the same, while the others will be different. Finally, the equation of locus was found as follow: (x,y) = { ..........see in abstract...........} when .........see in abstract........... Where ri is the radius of i-th circle, zeta i is an angle between the radius of i-th circle and X-axis, wi is the angular velocity, t is elapsed time and alpha i is a starting angle between the radius of i-th circle and X-axis.

頂心三角形誕生的奇蹟

在第 屆科展作品(中華民國第 屆中小學科學展覽會換心手術)有給定了一個新的名詞(頂心三角形):平面上給定△ABC及一點D,分別以A、B、C三頂點為圓心,¯DA、¯DB、¯DC為半徑畫圓,三圓交於三點E、F、G,再以三交點E、F、G為頂點作△EFG,則新△EFG稱為△ABC在D點的頂心三角形,本篇作品主要探討原三角形與其頂心三角形邊長與面積比例關係,並試著利用這些關係求出頂心線以及其他相關性質。 在我們的作品中,我們求出頂心三角形的三邊長為2¯AD sin⁡∠ CAB、2¯BD sin⁡∠ ABC、2¯CD sin⁡∠ BCA,也就是說在原三角形為任意三角形,可以得出頂心三角形的邊長與原三角形之間的邊長關係,我們再進一步利用邊長關係求出頂心三角形對原三角形的面積以及面積比例。我們還發現,當D點在原三角形的外接圓上時,頂心三角形會退化為一直線,稱為頂心線,而此頂心線會通過原三角形的垂心是本篇作品最重要的發現。

Method of prosthetic vision

This work is devoted to solving the problem of orientation in the space of visually impaired people. Working on the project, a new way of transmitting visual information through an acoustic channel was invented. In addition, was developed the device, which uses distance sensors to analyze the situation around a user. Thanks to the invented algorithm of transformation of the information about the position of the obstacle into the sound of a certain tone and intensity, this device allows the user to transmit subject-spatial information in real time. Currently, the device should use a facette locator made of 36 ultrasonic locators grouped in 12 sectors by the azimuth and 3 spatial cones by the angle. Data obtained in such a way is converted into its own note according to the following pattern : the angle of the place corresponds to octave, the azimuth corresponds to the note and the distance corresponds to the volume. The choice of the notes is not unambiguous. However, we used them for the reason that over the centuries, notes have had a felicitous way of layout on the frequency range and on the logarithmic scale. Therefore, the appearance of a new note in the total signal will not be muffled by a combination of other notes. Consequently, a blind person, moving around the room with the help of the tone and volume of the sound signals, will be able to assess the presence and location of all dangerous obstacles. After theoretical substantiation of the hypothesis and analysis of the available information, we started the production of prototypes of the devices that would implement the idea of transmitting information via the acoustic channel.

Solving Mathematical and Chemical Equations using Python

Max Gold's project, titled “Solving Mathematical and Chemical Equations using Python”, is a website comprising of 4 main programmes: one to find the smallest possible combination of two chemical compounds or elements; a self-made parsing function to convert a chemical equation into a matrix, then using Gaussian-Jordan elimination to find coefficients for an equation; a programme to parse a mathematical expression and use that parsed expression in algebraic division of an algebraic dividend of nth degree polynomial by a divisor of 1st degree polynomial; finally, a programme to solve binomial equations for the power s∈Q. This website was originally made so that Max Gold could improve his programming skills for GCSE computer science but expanded to incorporate his passion for chemistry and maths and thus allow others to use these programmes to help them with their problems as well. A problem with many conventional calculator websites is their lack of specificity – they tend to be able to compute some functions but not all. These programmes are tailored to GCSE and A level maths and chemistry, meaning this website provides an outlet to compute specific topics of problems.

水熊蟲於化學環境壓力耐受機制探討Tolerance mechanisms of Tardigrade under chemical environmental stresses

常見模式生物檢測化學環境壓力後無法重複使用。本研究探討對環境變化敏感的大生熊蟲抗化學環境壓力機制,評估其作為重複使用模式生物可行性。得知多數大生熊蟲於硝酸鹽、酸鹼值改變與殺蟲劑環境壓力下仍能活動或隱生。以亞甲藍簡易染色可確認化學環境壓力下大生熊蟲是否受傷害,如體表角質層被破壞會導致完全染色。分析大生熊蟲於常見硝酸鹽環境壓力下體內脂質含量、總蛋白質單體表現量與總抗氧化能力,推測出大生熊蟲對抗硝酸鹽環境壓力機制:1.藉由> 20 kDa持續性活化蛋白抗硝酸鹽環境壓力。2.活動大生熊蟲增加體內脂質含量隔絕環境硝酸鹽。3.隱生大生熊蟲以抗氧化系統降低硝酸鹽產生的氧化壓力傷害。以上結果得知大生熊蟲具潛能檢測常見化學環境壓力並作為重複檢測之模式生物。未來將持續評估大生熊蟲可檢測的化學環境壓力並為人類健康把關。

Line Following Waiter Robot

Technology is erratic. We never know what could be the next big thing. Nowadays, IoT (the internet of things) has taken over the market. Every technology created nowadays is somehow related to IoT. You should manage to connect the IoT technology with a robust area of hospitality. Catering customers' needs during peak hours at any restaurant or cafe could get overwhelmed with hectic tasks such as taking orders, fetching water, and ordering meals. We created a raw model to accommodate the limitations of the human mind. The technology-based IoT (Internet of things) can come in handy during hectic sessions. A Robot waiter is built from scratch using materials like Arduino (2), Gear DC motor (2), L298N motor driver (1), Ultrasonic sensor (2), IR sensor (2), Servo motor (4) HC-05 Bluetooth module. Desired orders are sent on a wireless network through the menu bar to the kitchen. Then, the robots transfer the food from the kitchen to the customers. The floor will be all white, while there will be a strip of black line to connect every sitting and the kitchen. For instance, if table number three is to be served, we click the number three in the app, which renders an obstacle in table 3. The motor barricades the robot, and the ultrasonic sensors sense it, and it stops. If anyone picks the plate, the ultrasonic sensor senses it, the blockage is removed, and the robot paces in the designated path. People visited the place more often to experience such stimuli. Using the robots attracted more customers and made the work very quick.

Line Following Waiter Robot

Technology is erratic. We never know what could be the next big thing. Nowadays, IoT (the internet of things) has taken over the market. Every technology created nowadays is somehow related to IoT. You should manage to connect the IoT technology with a robust area of hospitality. Catering customers' needs during peak hours at any restaurant or cafe could get overwhelmed with hectic tasks such as taking orders, fetching water, and ordering meals. We created a raw model to accommodate the limitations of the human mind. The technology-based IoT (Internet of things) can come in handy during hectic sessions. A Robot waiter is built from scratch using materials like Arduino (2), Gear DC motor (2), L298N motor driver (1), Ultrasonic sensor (2), IR sensor (2), Servo motor (4) HC-05 Bluetooth module. Desired orders are sent on a wireless network through the menu bar to the kitchen. Then, the robots transfer the food from the kitchen to the customers. The floor will be all white, while there will be a strip of black line to connect every sitting and the kitchen. For instance, if table number three is to be served, we click the number three in the app, which renders an obstacle in table 3. The motor barricades the robot, and the ultrasonic sensors sense it, and it stops. If anyone picks the plate, the ultrasonic sensor senses it, the blockage is removed, and the robot paces in the designated path. People visited the place more often to experience such stimuli. Using the robots attracted more customers and made the work very quick.

PVA unveiled the actual role of starch in the Briggs-Rauscher reaction

The Briggs Rauscher reaction (BR reaction) is one of the famous oscillating reactions; the aqueous mixture of KIO3, H2SO4, H2O2, C3H4O4, MnSO4, and starch exhibit color change between yellow and blue-purple repeatedly. The blue-purple color formation is due to the iodine test reaction caused by inclusions of polyiodides such as I3- and I5- in the helical structure of starch. Therefore, starch has been regarded as only an indicator in the BR reaction. But our seniors have found that the oscillation did not last without starch. They hypothesized that starch’s linear helical framework is necessary to elongate the lifetime of the oscillating reaction. If this hypothesis is correct, similar BR-type oscillations must be observed when other polymers with helical structures are used instead of starch. We found the literature which reports that polyvinyl alcohol (PVA) forms a helical structure and indicates the iodine test reaction. In our research, we studied the BR reactions using PVA, with different saponification degrees and viscosities. First, we studied the correlation between the structural features of PVA and the iodine color reaction by spectroscopic approach, exhibiting that PVA with low saponification form helical structures and show the iodine color reactions, which gives red color solutions. Second, we found that additions of the helical-structured PVA to the reaction solution instead of starch induces the BR-type oscillating reactions, while PVA without helical structure induces only a few numbers of oscillations. This is the world-first example of the oscillating reaction using PVA. The oscillation that lasted for 6 minutes with 23 oscillations was almost the same as that of the general BR reaction using starch. We concluded that the polymers with helical structures are intrinsic to elongate the lifetime of the BR reaction. Furthermore, we found that the addition of K3[Fe(CN)6], which has a high redox activity, in the reaction solution with PVA drastically elongated the lifetime (50 min) and increased the numbers of the oscillations (nearly 100 times). This result suggests that the oxidation-reduction reactions by the ferricyanide ion promotes the redox process of iodine and iodide ions.

Investigating the application of nanotechnology for detecting fishes hatching time

Introduction: Using advanced technologies such as nanotechnology in the food and fishery industry, as one of the most important industrial sectors of countries, has received too much attention. Traditionally, fishing and hunting have been considered important sources of supplying food. The subject and methodology: The study aims to investigate nanotechnology for detecting fish hatching time. This is a review article that collects the information from databases such as Sid, civilica, and Google Scholar. In the end, 22 papers were studied for extracting and collecting the required information from the abovementioned scientific database. Finding: After examining the food, drug, and agricultural-related papers published from 2009 to 2020, it was concluded that small Nano-sensors, controlling & monitoring systems made from nanotechnology can be installed on fishing nets, fishing rods, and other fishing equipment. These devices (Nano-sensors and controlling & monitoring systems) will help fishes so that they don’t get caught. In this way, as a fish gets close to the fishing equipment, it will receive sound, smell, or heat-based alarm. Therefore, the fish will stay away from the fishing equipment. The result: according to the finding of this study, it can be concluded that excessive fishing in the hatching time will be avoided by the application of nanotechnology in the fishing equipment. As a result, the following advantages will be secured: 1- There are lots of opportunists who misuse fish during the hatching time. With the application of nanotechnology, they will be stopped. 2- Opportunists are ambushing in different time points to misuse fish. Also, the guards might be ignorant. With the application of nanotechnology, guards are no longer required. 3- This plant is cost-effective too.